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Races & Games · Question 65 of 73

Question 65

MediumOriginal question

Three runners take 30, 40 and 60 seconds to complete a lap. They start together from the starting point. After how many seconds are all three next at the start together?

Options for question 65

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. They are all at the start at a common multiple of 30, 40 and 60.

  2. LCM(30,40,60)=120\text{LCM}(30, 40, 60) = 120 seconds.

Worth noting

240 is a common multiple, but 120 comes first.

Concept
Meeting at the starting point
Typical time
90 s
Your time
—
The rule this testsCircular tracks
Practise this chapter →

Ten questions from Races & Games, at your own pace.

Practise this chapter →

Ten questions from Races & Games, at your own pace.